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Introduction to quadratic forms / O. Timothy O'Meara.

By: O'Meara, O. TMaterial type: Text

TextSeries: Classics in mathematicsPublication details: Berlin ; New York : Springer, c2000Description: xii, 342 p. : ill. ; 24 cmISBN: 97803540665649Subject(s): Forms, QuadraticDDC classification: 512.74

Contents:

One Arithmetic Theory of Fields -- I. Valuated Fields -- II. Dedekind Theory of Ideals -- III. Fields of Number Theory -- Two Abstract Theory of Quadratic Forms -- IV. Quadratic Forms and the Orthogonal Group -- V. The Algebras of Quadratic Forms -- Three Arithmetic Theory of Quadratic Forms over Fields -- VI. The Equivalence of Quadratic Forms -- VII. Hilbert's Reciprocity Law -- Four Arithmetic Theory of Quadratic Forms over Rings -- VIII. Quadratic Forms over Dedekind Domains -- IX. Integral Theory of Quadratic Forms over Local Fields -- X. Integral Theory of Quadratic Forms over Global Fields.

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Holdings
Item type	Current library	Call number	Status	Date due	Barcode	Item holds
General Books	Central Library, Sikkim University	512.74 MEA/I (Browse shelf(Opens below))	Available		45964

Total holds: 0

Originally published: 3rd corr. print. Berlin ; New York : Springer-Verlag, 1973, in series: Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete ; Bd. 117.

Includes bibliographical references (p. [336]) and index.

One Arithmetic Theory of Fields --
I. Valuated Fields --
II. Dedekind Theory of Ideals --
III. Fields of Number Theory --
Two Abstract Theory of Quadratic Forms --
IV. Quadratic Forms and the Orthogonal Group --
V. The Algebras of Quadratic Forms --
Three Arithmetic Theory of Quadratic Forms over Fields --
VI. The Equivalence of Quadratic Forms --
VII. Hilbert's Reciprocity Law --
Four Arithmetic Theory of Quadratic Forms over Rings --
VIII. Quadratic Forms over Dedekind Domains --
IX. Integral Theory of Quadratic Forms over Local Fields --
X. Integral Theory of Quadratic Forms over Global Fields.

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